查询词典 minimization

By applying Frenchet derivative analysis, the iteration formula is derived to solve the constrained functional minimization problem, essentially the formula is a level set equation, in which the motion velocity of the level set is the shape sensitivity of material interfaces.

这样就把材料界面表示为一组高维函数的水平集，使拓扑优化问题转化为材料界面追踪问题，这时材料界面的形状敏度就(来源：9aABb5C论文网www.abclunwen.com)是水平集的运动速度。

The paper studies on the method of traffic volume alteration fitted for Hebei provincial highway network ,carries on the modeling of the selection of flux observation point in OD back-stepping technique by the upper limit of maximum possible relative errors and the minimization of constrained domain,improves the precision of traffic volume alteration.

为研究适合于河北省公路网络的交通量更新方法，利用最大可能相对误差上限和约束域最小化对OD反推技术中的流量观测点选取进行建模，可提高交通量更新的精度，相关研究成果改善了河北省交通量预测模型，能很好地运用于河北省公路交通规划、管理和决策。

Image Processing Center, School of Astronautics, Beihang University, Beijing 100191 Image Processing Center, School of Astronautics, Beihang University论文摘要: Using hyperspectral images to detect targets, the classical detection algorithms mainly focus on the second-order statistics. For example, the popular Constrained Energy Minimization algorithm uses the data's correlation matrix to detect targets.

论文摘要：利用高光谱图像进行目标检测，传统的目标检测算法主要使用二阶统计量，例如国际上流行的约束能量最小化(Constrained Energy Minimization，CEM)算法使用数据的二阶相关矩阵来进行目标检测。

After reviewing lots of previous work on cell layout generation and standard-cell and BBL placement and routing technique, algorithms for transistor placement and intra-cell routing in cell layout generation, timing-driven standard-cell placement, multi-layer detailed area routing and multi-layer constrained via minimization are presented and implemented.

论文在较为深入研究和总结国内外有关单元版图自动生成及集成电路布局布线技术方面研究成果的基础上，对标准单元版图自动生成技术中单元内晶体管布局和单元内布线、时延驱动的标准单元布局、多层金属工艺的区域详细布线及多层布线通孔最少化进行算法研究、设计和实现。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

This method not only reformulates CPs as a smooth minimization problem, but also avoids the inconvenience of adjusting parameters.

在某种意义上拓宽了研究互补问题的数值方法。

In this paper, the critical region minimization problem for channel routing is considered.

本论文中我们将考虑解决通道绕线危险区域最小化的问题。

In order to solve the theoretical backlash problem of the teeth, which is crucial to the number of actual contact pairs of teeth in the research on multi teeth contact of crown gear coupling , the theoretical backlash of teeth flank with the concept of backlash angle is first time defined and described in the paper, and the minimization model of its variables is set up.

为解决鼓形齿联轴器多齿接触研究课题中的实际接触齿对数的关键技术轮齿理论间隙的问题，首次用间隙角的概念对轮齿理论间隙作了定义和描述；建立了该变量的极小化模型；对一鼓形齿联轴器作了实际优化计算，得出了鼓形齿联轴器多齿接触研究中计算实际接触齿对数所需的不同啮合状态下的最小间隙角

Taking the minimization of the tooth crown of a worm wheel and the maximization of transmission efficiency and the distance from the center as objectives,we establish the mathematical model for the multi-objective optimal design of worm transmission on the condition that the worm wheel and the worm transmission meet the requirements for load,strength and others.

以蜗轮齿冠体积最小、传动效率最高和中心距最小为目标，在保证蜗轮和蜗杆满足承载、强度及其它要求的前提下建立蜗杆传动多目标优化设计的数学模型。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。